1 Answer

Amith Dissanayaka · Answer 1 · 2021-07-12T22:26:33+0000

Answer:

x>4 or
$x \leq -3$

Explanation:

Given :
-6x -1 < -25 or
$3x + 4 \leq -5$

Solving first inequality :

-6x-1<-25

Add 1 to both sides

$\Rightarrow -6x-1+1<-25+1\\\Rightarrow -6x<-24\\\Rightarrow 6x>24$

Divide both sides by 6

$\Rightarrow (6)/(6)x>(24)/(6)\\\Rightarrow x>4$

Solving second inequality:

$3x + 4 \leq -5$

Subtract 4 from both sides

$\Rightarrow 3x+4-4 \leq -5-4\\\Rightarrow 3x \leq -9$

Divide both sides by 3

$\Rightarrow (3)/(3)x \leq (-9)/(3)$

$\Rightarrow x \leq -3$

So,
x>4 or
$x \leq -3$

Refer the attached graph

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